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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LCL686+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.hbCKqQ7YDs true

% Computer : n018.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Sep  7 01:37:01 PM UTC 2026

% Result   : Theorem 0.51s 0.78s
% Output   : Refutation 0.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   19 (   5 unt;   0 typ;   0 def)
%            Number of atoms       :   84 (   0 equ;   0 cnn)
%            Maximal formula atoms :   19 (   4 avg)
%            Number of connectives :  286 (  72   ~;  57   |;   8   &; 149   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   6 usr;   2 con; 0-2 aty)
%            Number of variables   :   40 (   0   ^;  38   !;   2   ?;  40   :)

% Comments : 
%------------------------------------------------------------------------------
thf(p1_type,type,
    p1: $i > $o ).

thf(p3_type,type,
    p3: $i > $o ).

thf(sk__3_type,type,
    sk__3: $i ).

thf(sk__6_type,type,
    sk__6: $i > $i ).

thf(r1_type,type,
    r1: $i > $i > $o ).

thf(p2_type,type,
    p2: $i > $o ).

thf(main,conjecture,
    ~ ? [X: $i] :
        ~ ( ! [Y: $i] :
              ( ! [X: $i] :
                  ( ~ ( p1 @ X )
                  | ~ ( r1 @ Y @ X ) )
              | ~ ( p3 @ Y )
              | ~ ( r1 @ X @ Y ) )
          | ! [Y: $i] :
              ( ~ ! [X: $i] :
                    ( ~ ( ! [Y: $i] :
                            ~ ( r1 @ X @ Y )
                        | ~ ! [Y: $i] :
                              ( ~ ( ( ( p2 @ Y )
                                    & ~ ( p1 @ Y ) )
                                  | ( ~ ( p2 @ Y )
                                    & ( p1 @ Y ) ) )
                              | ~ ( r1 @ X @ Y ) )
                        | ! [Y: $i] :
                            ( ( p3 @ Y )
                            | ~ ( r1 @ X @ Y ) )
                        | ! [Y: $i] :
                            ( ( ( p1 @ Y )
                              & ( p2 @ Y ) )
                            | ( ~ ( p2 @ Y )
                              & ~ ( p1 @ Y ) )
                            | ~ ( r1 @ X @ Y ) ) )
                    | ~ ( r1 @ Y @ X ) )
              | ~ ( r1 @ X @ Y ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ? [X: $i] :
      ~ ( ! [Y: $i] :
            ( ! [X: $i] :
                ( ~ ( p1 @ X )
                | ~ ( r1 @ Y @ X ) )
            | ~ ( p3 @ Y )
            | ~ ( r1 @ X @ Y ) )
        | ! [Y: $i] :
            ( ~ ! [X: $i] :
                  ( ~ ( ! [Y: $i] :
                          ~ ( r1 @ X @ Y )
                      | ~ ! [Y: $i] :
                            ( ~ ( ( ( p2 @ Y )
                                  & ~ ( p1 @ Y ) )
                                | ( ~ ( p2 @ Y )
                                  & ( p1 @ Y ) ) )
                            | ~ ( r1 @ X @ Y ) )
                      | ! [Y: $i] :
                          ( ( p3 @ Y )
                          | ~ ( r1 @ X @ Y ) )
                      | ! [Y: $i] :
                          ( ( ( p1 @ Y )
                            & ( p2 @ Y ) )
                          | ( ~ ( p2 @ Y )
                            & ~ ( p1 @ Y ) )
                          | ~ ( r1 @ X @ Y ) ) )
                  | ~ ( r1 @ Y @ X ) )
            | ~ ( r1 @ X @ Y ) ) ),
    inference('cnf.neg',[status(esa)],[main]) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i] :
      ( ( r1 @ X0 @ ( sk__6 @ X0 ) )
      | ~ ( r1 @ sk__3 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(reflexivity,axiom,
    ! [X: $i] : ( r1 @ X @ X ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i] : ( r1 @ X0 @ X0 ),
    inference(cnf,[status(esa)],[reflexivity]) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i] :
      ( ( p1 @ ( sk__6 @ X0 ) )
      | ( p2 @ ( sk__6 @ X0 ) )
      | ~ ( r1 @ sk__3 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( r1 @ X0 @ X1 )
      | ~ ( p2 @ X1 )
      | ( p1 @ X1 )
      | ~ ( r1 @ sk__3 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( r1 @ sk__3 @ X1 )
      | ( p1 @ ( sk__6 @ X1 ) )
      | ~ ( r1 @ sk__3 @ X0 )
      | ( p1 @ ( sk__6 @ X1 ) )
      | ~ ( r1 @ X0 @ ( sk__6 @ X1 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl8,zip_derived_cl4]) ).

thf(zip_derived_cl20,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( r1 @ X0 @ ( sk__6 @ X1 ) )
      | ~ ( r1 @ sk__3 @ X0 )
      | ( p1 @ ( sk__6 @ X1 ) )
      | ~ ( r1 @ sk__3 @ X1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl17]) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( r1 @ X0 @ X1 )
      | ( p2 @ X1 )
      | ~ ( p1 @ X1 )
      | ~ ( r1 @ sk__3 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i] :
      ( ~ ( p2 @ ( sk__6 @ X0 ) )
      | ~ ( p1 @ ( sk__6 @ X0 ) )
      | ~ ( r1 @ sk__3 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( r1 @ sk__3 @ X1 )
      | ~ ( p1 @ ( sk__6 @ X0 ) )
      | ~ ( r1 @ X1 @ ( sk__6 @ X0 ) )
      | ~ ( r1 @ sk__3 @ X0 )
      | ~ ( p1 @ ( sk__6 @ X0 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl3,zip_derived_cl9]) ).

thf(zip_derived_cl19,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( r1 @ sk__3 @ X0 )
      | ~ ( r1 @ X1 @ ( sk__6 @ X0 ) )
      | ~ ( p1 @ ( sk__6 @ X0 ) )
      | ~ ( r1 @ sk__3 @ X1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl16]) ).

thf(zip_derived_cl21,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( r1 @ sk__3 @ X1 )
      | ~ ( r1 @ sk__3 @ X0 )
      | ~ ( r1 @ X0 @ ( sk__6 @ X1 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl20,zip_derived_cl19]) ).

thf(zip_derived_cl22,plain,
    ! [X0: $i] :
      ( ~ ( r1 @ sk__3 @ X0 )
      | ~ ( r1 @ X0 @ ( sk__6 @ sk__3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl21]) ).

thf(zip_derived_cl63,plain,
    ( ~ ( r1 @ sk__3 @ sk__3 )
    | ~ ( r1 @ ( sk__6 @ sk__3 ) @ ( sk__6 @ sk__3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl22]) ).

thf(zip_derived_cl0_001,plain,
    ! [X0: $i] : ( r1 @ X0 @ X0 ),
    inference(cnf,[status(esa)],[reflexivity]) ).

thf(zip_derived_cl0_002,plain,
    ! [X0: $i] : ( r1 @ X0 @ X0 ),
    inference(cnf,[status(esa)],[reflexivity]) ).

thf(zip_derived_cl69,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl0,zip_derived_cl0]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL686+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.hbCKqQ7YDs true
% 0.10/0.36  % Computer : n018.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Sat Sep  5 09:52:48 UTC 2026
% 0.10/0.36  % CPUTime  : 
% 0.10/0.36  % Running portfolio for 300 s
% 0.10/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.37  % Python version: Python 3.12.3
% 0.14/0.37  % Running in FO mode
% 0.48/0.68  % Total configuration time : 435
% 0.48/0.68  % Estimated wc time : 1092
% 0.48/0.68  % Estimated cpu time (7 cpus) : 156.0
% 0.51/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.51/0.78  % Solved by fo/fo6_bce.sh.
% 0.51/0.78  % BCE start: 15
% 0.51/0.78  % BCE eliminated: 2
% 0.51/0.78  % PE start: 13
% 0.51/0.78  logic: neq
% 0.51/0.78  % PE eliminated: 2
% 0.51/0.78  % done 21 iterations in 0.014s
% 0.51/0.78  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.51/0.78  % SZS output start Refutation
% See solution above
% 0.51/0.78  
% 0.51/0.78  
% 0.51/0.78  % Terminating...
% 1.35/0.82  % Runner terminated.
% 1.35/0.83  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------